3 papers
math.AP2026
Global regularity for potentials of optimal transport of non-convex planar domains
Shengnan Hu, Yuanyuan Li
In this paper, we investigate the optimal transport problem when the source is a non-convex polygonal domain in . We show a global estimate for potential…
math.NA2024
Function and derivative approximation by shallow neural networks
Yuanyuan Li, Shuai Lu
We investigate a Tikhonov regularization scheme specifically tailored for shallow neural networks within the context of solving a classic inverse problem: approximating an unknown…
stat.ML2024
The sampling complexity of learning invertible residual neural networks
Yuanyuan Li, Philipp Grohs, Philipp Petersen
In recent work it has been shown that determining a feedforward ReLU neural network to within high uniform accuracy from point samples suffers from the curse of dimensionality in t…